Altitude Obtuse Triangle
Altitude (h) = Base * Height / (2 * sin(angle))
The following are the Derivation for Altitude of Obtuse Triangle:
- Triangle has one angle > 90 degrees.
- Altitude from the vertex opposite the obtuse angle.
- Formula: h = Base * Height / (2 * sin(angle)).
Formula: ℎ=Base×Height2×sin(angle)h=2×sin(angle)Base×Height
Understanding the formulas for altitudes in different types of triangles is crucial for exploring the geometric properties and relationships unique to each triangle.
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Name of Triangle |
Formula for Altitude |
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h = (Base × Height) / Hypotenuse |
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h = (Side × √3) / 2 |
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h = (Base × Height) / (2 × Sin(angle)) |
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h = √(Leg2 – (Base / 2)2) |
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Heron’s Formula:- Area = √(s(s – a)(s – b)(s – c)) |
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h= (2 × Area of Triangle) / Base length |
Altitude of Triangle – Definition, Formulas, Examples, Properties
The Altitude of a triangle is the length of a straight line segment drawn from one of the triangle’s vertices (corners) perpendicular to the opposite side.
It’s like measuring the height of the triangle from a specific point to the base. The altitude is a fundamental concept in geometry and is often used to calculate the area of a triangle.
In this article, we have covered the Altitude of a Triangle, its Properties, the Altitude of each type of triangle, How to find Altitude, and many more in simple way.
Let’s dive right in.